{"format":"murdoku-puzzle/1","id":"maths-lesson","version":1,"difficulty":"easy","level":3,"size":{"rows":8,"cols":8},"languages":["en","hu","de","fr","es","it","nl","pl","pt","ro","ca","cs","fi","vi","tr","el","ru","uk","ar","ko","ja","zh-Hans","zh-Hant"],"defaultLanguage":"en","title":"A aula de matemática","tagline":"Uma escola primária · dia de portas abertas · o inspetor nunca escreveu o seu relatório","author":"mathace","concept":"Murdoku – Manuel Garand (murdoku.com); unofficial fan-made case","created":"2026-10-08","story":"Era o dia de portas abertas na escola primária da Rua Hársfa: os pais podiam assistir a qualquer aula, e este ano até o inspetor escolar apareceu. O Viktor tinha um caderno cheio de observações e fama de encontrar defeitos em tudo – o triângulo de giz no quadro preto, os colchões de ginástica gastos, o café da sala dos professores. Quando a campainha tocou no fim do intervalo grande, o inspetor não apareceu na terceira aula: foi encontrado morto na sala dos professores. Três pais e quatro funcionários da escola ainda estavam no edifício, e a cada um perguntaram onde tinha estado.","rules":{"standard":["Cada <b>linha</b> e cada <b>coluna</b> tem exatamente <b>uma pessoa</b>. Assim que colocares alguém, risca toda a sua linha e a sua coluna.","<b>«Ao lado»</b> = diretamente à esquerda, à direita, acima ou abaixo, e <b>na mesma área</b>. 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fill=\"#f0cdb0\"/><path d=\"M26 36 Q26 16 40 16 Q54 16 54 36 Q52 24 40 24 Q28 24 26 36 Z\" fill=\"#1c1a1a\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><path d=\"M30 58 Q40 70 50 58 L48 66 Q40 76 32 66 Z\" fill=\"#e0b050\"/></svg>","solverRole":"staff","constraints":[{"type":"only_beside","obj":"bench"}]},{"id":"F","name":"Feri","gender":"M","role":"staff","color":"#00838f","avatar":{"bg":"#2e5a3a","skin":"#e7b98f","hair":"#3a2a1c","style":"short","shirt":"#c62828","mustache":true,"mustacheColor":"#3a2a1c","whistle":true},"clue":"Era o <b>único</b> sentado numa <b>cadeira</b>.","job":"professor de educação física","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Feri\"><rect width=\"80\" height=\"80\" fill=\"#2e5a3a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#c62828\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#e7b98f\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#e7b98f\"/><path d=\"M26 32 Q26 15 40 15 Q54 15 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#3a2a1c\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#3a2a1c\"/><path d=\"M33 56 Q40 68 47 56\" fill=\"none\" stroke=\"#c9302c\" stroke-width=\"1.6\"/><rect x=\"37\" y=\"66\" width=\"7\" height=\"5\" rx=\"1.5\" fill=\"#e0b040\" stroke=\"#7a5a12\" stroke-width=\".8\"/></svg>","solverRole":"staff","constraints":[{"type":"only_on","obj":"chair"}]},{"id":"I","name":"Ildikó","gender":"F","role":"staff","color":"#ad1457","avatar":{"bg":"#e65100","skin":"#f6d8c0","hair":"#b7482c","style":"bun","shirt":"#f2a53a","glasses":true,"necklace":true},"clue":"Era a <b>única mulher</b> ao lado do <b>quadro preto</b>.","job":"professora de matemática","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Ildikó\"><rect width=\"80\" height=\"80\" fill=\"#e65100\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#f2a53a\"/><path d=\"M31 58 Q40 66 49 58\" fill=\"none\" stroke=\"#f3e2b3\" stroke-width=\"2\" stroke-dasharray=\"2 2\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f6d8c0\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f6d8c0\"/><circle cx=\"40\" cy=\"15\" r=\"7\" fill=\"#b7482c\"/><path d=\"M26 32 Q26 16 40 16 Q54 16 54 32 Q50 24 40 24 Q30 24 26 32 Z\" fill=\"#b7482c\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><circle cx=\"34\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><circle cx=\"46\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><line x1=\"39\" y1=\"35\" x2=\"41\" y2=\"35\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/></svg>","solverRole":"staff","constraints":[{"type":"only_beside","obj":"blackboard","gender":"F"}]},{"id":"V","name":"Viktor","gender":"M","role":"victim","color":"#1b1b1b","avatar":{"bg":"#5a2a2a","skin":"#f1c8a5","hair":"#d9d4cc","style":"bald","shirt":"#2f3b4c","glasses":true,"mustache":true,"mustacheColor":"#d9d4cc"},"clue":"<b>A vítima.</b> Foi encontrado na <b>Sala dos professores</b> – a sós com o assassino.","job":"inspetor escolar","avatarSvg":"<svg viewBox=\"0 0 80 80\" xmlns=\"http://www.w3.org/2000/svg\" role=\"img\" aria-label=\"Viktor\"><rect width=\"80\" height=\"80\" fill=\"#5a2a2a\"/><path d=\"M10 80 Q12 56 40 54 Q68 56 70 80 Z\" fill=\"#2f3b4c\"/><rect x=\"34\" y=\"44\" width=\"12\" height=\"13\" fill=\"#f1c8a5\"/><ellipse cx=\"40\" cy=\"34\" rx=\"14\" ry=\"16\" fill=\"#f1c8a5\"/><path d=\"M26 30 Q26 22 30 20 L30 34 Q26 34 26 30 Z\" fill=\"#d9d4cc\"/><path d=\"M54 30 Q54 22 50 20 L50 34 Q54 34 54 30 Z\" fill=\"#d9d4cc\"/><circle cx=\"34\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><circle cx=\"46\" cy=\"35\" r=\"1.6\" fill=\"#2b2b2b\"/><path d=\"M36 43 Q40 46 44 43\" fill=\"none\" stroke=\"#a5735a\" stroke-width=\"1.4\"/><circle cx=\"34\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><circle cx=\"46\" cy=\"35\" r=\"5\" fill=\"none\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><line x1=\"39\" y1=\"35\" x2=\"41\" y2=\"35\" stroke=\"#2b2b2b\" stroke-width=\"1.4\"/><path d=\"M33 41 Q40 37 47 41 Q40 43 33 41 Z\" fill=\"#d9d4cc\"/><path d=\"M12 12 L68 68 M68 12 L12 68\" stroke=\"#e0362e\" stroke-width=\"5\" stroke-linecap=\"round\" opacity=\".9\"/></svg>","solverRole":"inspector","constraints":[{"type":"area","areas":["Staff Room"]}]}],"victim":"V","murderer":"F","solution":{"I":[1,1],"D":[2,7],"C":[3,4],"E":[4,6],"B":[5,8],"F":[6,3],"V":[7,2],"A":[8,5]},"walkthrough":[{"place":["D"],"cand":{"A":[[8,1],[8,2],[8,3],[8,5],[8,6]],"B":[[3,4],[3,8],[4,2],[5,3],[5,4],[5,6],[5,8],[7,4],[8,1],[8,5]],"C":[[3,4]],"E":[[3,5],[4,4],[4,6],[5,5],[6,4],[7,5]],"F":[[4,3],[6,1],[6,3]],"I":[[1,1],[1,4]],"V":[[5,1],[5,2],[5,3],[7,1],[7,2],[7,3],[8,1],[8,2],[8,3]]},"text":"A Ildikó era a única mulher ao lado do quadro preto (R1C2–R1C3). As casas livres ao lado dele são R1C1, R1C4 e R2C2 – mas R2C2 é uma cadeira, e só o Feri estava sentado numa cadeira. Assim, a Ildikó está em R1C1 ou R1C4: a linha 1 é dela. O Dávid tinha o cesto das bolas (R6C7) na sua coluna, por isso a coluna 7 é dele, e havia uma secretária na sua área. Há secretárias na Sala de matemática e na Direção, e a coluna 7 só passa por uma dessas áreas, a Direção, em R1C7 e R2C7. A linha 1 é da Ildikó: <b>Dávid está em R2C7</b>, na poltrona."},{"place":["C","I"],"cand":{"A":[[8,2],[8,3],[8,5],[8,6]],"B":[[4,2],[5,3],[5,6],[5,8],[8,5]],"E":[[4,6],[5,5],[7,5]],"F":[[4,3],[6,3]],"V":[[5,2],[5,3],[7,2],[7,3],[8,2],[8,3]]},"text":"A Csilla estava ao lado de uma secretária, mas não ao lado de uma estante. As secretárias estão em R1C8, R2C3 e R3C3, e as casas livres ao lado delas são R1C7 e R2C8 (Direção) e R2C2, R2C4, R3C2, R3C4 e R4C3 (Sala de matemática). R2C2 e R4C3 são cadeiras (só o Feri estava sentado numa cadeira), R3C2 fica ao lado da estante (R3C1), R1C7 fica na coluna do Dávid, e R2C4 e R2C8 ficam na linha dele: <b>Csilla está em R3C4.</b> A coluna 4 é agora dela, por isso a Ildikó não pode estar em R1C4: <b>Ildikó está em R1C1.</b>"},{"place":["B"],"cand":{"A":[[8,2],[8,3],[8,5],[8,6]],"E":[[4,6],[7,5]],"F":[[4,3],[6,3]],"V":[[7,2],[7,3],[8,2],[8,3]]},"text":"As linhas 1, 2 e 3 e as colunas 1, 4 e 7 estão ocupadas. Cada coluna tem alguém – quem pode estar na coluna 8? R4C8 é o troféu e R8C8 a parede de escalada, por isso só restam R5C8, R6C8 e R7C8, todas no Ginásio. O Attila estava na linha 8, o Viktor na Sala dos professores, o Feri numa cadeira e a Eszter ao lado de um banco – nenhuma destas casas lhes serve. A coluna 8 é, portanto, da Bori. Ela estava num canto da sua área, e das três casas só R5C8 é um canto do Ginásio: <b>Bori está em R5C8.</b>"},{"place":["F"],"cand":{"A":[[8,2],[8,5],[8,6]],"E":[[4,6],[7,5]],"V":[[7,2],[8,2]]},"text":"O Feri era o único numa cadeira. As cadeiras estão em R2C2, R4C3, R6C1 e R6C3; R2C2 fica na linha do Dávid e R6C1 na coluna da Ildikó, por isso o Feri está em R4C3 ou R6C3. Vejamos agora a linha 6, onde também tem de estar alguém: R6C1 fica na coluna da Ildikó, R6C2 é a mesa, R6C4 fica na coluna da Csilla, R6C7 é o cesto das bolas e R6C8 fica na coluna da Bori. Restam R6C3, R6C5 e R6C6. R6C5 e R6C6 ficam no Ginásio, mas ao lado de nenhum banco, por isso não servem a ninguém: o Attila estava na linha 8, a Eszter ao lado de um banco, o Viktor na Sala dos professores e o Feri numa cadeira. R6C3 é uma cadeira, e só o Feri se pode sentar nela: <b>Feri está em R6C3</b> – na Sala dos professores, onde a vítima foi encontrada."},{"place":["E","A","V"],"text":"Na linha 4 também tem de estar alguém. R4C1 é a máquina de café expresso, R4C3 fica na coluna do Feri, as colunas 4 e 7 estão ocupadas e R4C8 é o troféu. R4C2 e o próprio banco (R4C5) não ficam ao lado de nenhum banco, por isso nenhum dos que faltam pode estar aí – a linha 4 é da Eszter, em R4C6 ao lado do banco: <b>Eszter está em R4C6.</b> O Feri estava na Sala dos professores, e o assassino estava lá a sós com a vítima, por isso mais ninguém estava na Sala dos professores. O Attila está na linha 8: as colunas 1 e 7 estão ocupadas, R8C4 e R8C8 são objetos, R8C2 e R8C3 pertencem à Sala dos professores e R8C6 fica na coluna da Eszter – <b>Attila está em R8C5.</b> O Viktor estava na Sala dos professores; as linhas 5, 6 e 8 e as colunas 1 e 3 estão ocupadas, por isso <b>Viktor está em R7C2.</b>"},{"final":true,"text":"Caso encerrado: o Viktor estava a sós na Sala dos professores com o professor de educação física. <b>Feri é o assassino!</b>"}],"solver":{"rules":[],"occupiable":["armchair","bench","chair","crashmat","sofa"]},"verification":{"tool":"tools/murdoku_solver.py","unique":true,"guessFree":true,"checked":"2026-10-08"},"score":0.0025}